Finding the Fourth Proportional to 1,091.66, 1,506.72 and 649.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,091.66 : 1,506.72 = 649.82 : x
2. Step 2: Convert to fraction form
   1,091.66/1,506.72 = 649.82/x
3. Step 3: Cross multiply
   1,091.66x = 1,506.72 × 649.82
4. Step 4: Simplify right side
   1,091.66x = 979,096.79
5. Step 5: Solve for x
   x = 979,096.79/1,091.66
6. Step 6: Final answer
   x = 896.89